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Finding the Third Proportional to 819,466 and 1,282,664

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Solution

The third proportional to 819,466 and 1,282,664 is: 2,007,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,466 : 1,282,664 = 1,282,664 : x
  2. Step 2: Convert to fraction form
    819,466/1,282,664 = 1,282,664/x
  3. Step 3: Cross multiply
    819,466x = 1,282,664 × 1,282,664
  4. Step 4: Simplify right side
    819,466x = 1,645,226,936,896
  5. Step 5: Solve for x
    x = 1,645,226,936,896/819,466
  6. Step 6: Final answer
    x = 2,007,681.75

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.